卢卡斯数（n=1到100）

定义

我₀= 2

我₁= 1

我_n个=升_n-1个+L（左）_n-2个（n>=2）

进一步信息如下在这里.

n:Ln（alen）=系数1:1（1）=单位2:3（1）=素数3 : 4 (1) = 2 * 24:7（1）=素数5:11（2）=素数6 : 18 (2) = 2 * 3 * 37:29（2）=素数8:47（2）=素数9 : 76 (2) = 2 * 2 * 1910 : 123 (3) = 3 * 4111:199（3）=素数12 : 322 (3) = 2 * 7 * 2313:521（3）=素数14 : 843 (3) = 3 * 28115 : 1364 (4) = 2 * 2 * 11 * 3116:2207（4）=素数17:3571（4）=素数18 : 5778 (4) = 2 * 3 * 3 * 3 * 10719:9349（4）=素数20 : 15127 (5) = 7 * 216121 : 24476 (5) = 2 * 2 * 29 * 21122 : 39603 (5) = 3 * 43 * 30723 : 64079 (5) = 139 * 46124 : 103682 (6) = 2 * 47 * 110325 : 167761 (6) = 11 * 101 * 15126 : 271443 (6) = 3 * 9048127 : 439204 (6) = 2 * 2 * 19 * 577928 : 710647 (6) = 7 * 7 * 1450329 : 1149851 (7) = 59 * 1948930 : 1860498 (7) = 2 * 3 * 3 * 41 * 252131:3010349（7）=素数32 : 4870847 (7) = 1087 * 448133 : 7881196 (7) = 2 * 2 * 199 * 990134:127252043（8）=3*67*66344335 : 20633239 (8) = 11 * 29 * 71 * 91136 : 33385282 (8) = 2 * 7 * 23 * 10368137:54018521（8）=素数38 : 87403803 (8) = 3 * 2913460139 : 141422324 (9) = 2 * 2 * 79 * 521 * 85940:2228826127（9）=47*1601*304141:370248451（9）=素数42 : 599074578 (9) = 2 * 3 * 3 * 83 * 281 * 142743 : 969323029 (9) = 6709 * 14448144 : 1568397607 (10) = 7 * 263 * 881 * 96745 : 2537720636 (10) = 2 * 2 * 11 * 19 * 31 * 181 * 54146 : 4106118243 (10) = 3 * 4969 * 27544947:6643838879（10）=素数48 : 10749957122 (11) = 2 * 769 * 2207 * 316749 : 17393796001 (11) = 29 * 59978606950 : 28143753123 (11) = 3 * 41 * 401 * 57060151 : 45537549124 (11) = 2 * 2 * 919 * 3469 * 357152 : 73681302247 (11) = 7 * 103 * 10219320753:119218851371（12）=素数54 : 192900153618 (12) = 2 * 3 * 3 * 3 * 3 * 107 * 1112842755 : 312119004989 (12) = 11 * 11 * 199 * 331 * 3916156 : 505019158607 (12) = 47 * 1074508848157 : 817138163596 (12) = 2 * 2 * 229 * 9349 * 9541958 : 1322157322203 (13) = 3 * 347 * 127008388359 : 2139295485799 (13) = 709 * 8969 * 33641960 : 3461452808002 (13) = 2 * 7 * 23 * 241 * 2161 * 2064161:5600748293801（13）=素数62 : 9062201101803 (13) =  3 * 302073370060163 : 14662949395604 (14) = 2 * 2 * 19 * 29 * 211 * 1009 * 3124964 : 23725150497407 (14) = 127 * 18681220864165 : 38388099893011 (14) = 11 * 131 * 521 * 2081 * 2457166 : 62113250390418 (14) = 2 * 3 * 3 * 43 * 307 * 26139960167 : 100501350283429 (15) = 4021 * 2499411844968 : 162614600673847 (15) = 7 * 2323065723912169 : 263115950957276 (15) = 2 * 2 * 139 * 461 * 691 * 148557170 : 425730551631123 (15) = 3 * 41 * 281 * 1231752312171:688846502588399（15）=素数72:114577054219522（16）=2*47*1103*10074995712173 : 1803423556807921 (16) = 151549 * 1189993702974 : 2918000611027443 (16) = 3 * 11987 * 8114347796375:472142416785364（16）=2*2*11*31*101*151*12301*1845176 : 7639424778862807 (16) = 7 * 109134639698040177 : 12360848946698171 (17) = 29 * 199 * 229769 * 932192978:20000273725560978（17）=2*3*3*90481*12280217044179:32361122672259149（17）=素数80 : 52361396397820127 (17) = 2207 * 2372514562656181 : 84722519070079276 (17) = 2 * 2 * 19 * 3079 * 5779 * 6265026182 : 137083915467899403 (18) = 3 * 163 * 800483 * 35020756983 : 221806434537978679 (18) = 35761381 * 620240125984 : 358890350005878082 (18) = 2 * 7 * 7 * 23 * 167 * 14503 * 6574058385 : 580696784543856761 (18) = 11 * 3571 * 1158551 * 1276003186 : 939587134549734843 (18) = 3 * 31319571151657828187 : 1520283919093591604 (19) = 2 * 2 * 59 * 349 * 19489 * 94710409988 : 2459871053643326447 (19) = 47 * 93058241 * 56241856189 : 3980154972736918051 (19) = 179 * 2223550264098836990 : 6440026026380244498 (19) = 2 * 3 * 3 * 3 * 41 * 107 * 2521 * 1078334208191 : 10420180999117162549 (20) = 29 * 521 * 68966715197016192 : 16860207025497407047 (20) = 7 * 253367 * 950637219386393 : 27280388024614569596 (20) = 2 * 2 * 63799 * 3010349 * 3551074994 : 44140595050111976643 (20) = 3 * 563 * 5641 * 463289475190795 : 71420983074726546239 (20) = 11 * 191 * 9349 * 41611 * 8738290196 : 115561578124838522882 (21) = 2 * 1087 * 4481 * 1186257524870397 : 186982561199565069121 (21) = 3299 * 5667855750214157998 : 302544139324403592003 (21) = 3 * 281 * 5881 * 6102530946904199 : 489526700523968661124 (21) = 2 * 2 * 19 * 199 * 991 * 2179 * 9901 * 1513909100 : 792070839848372253127 (21) = 7 * 2161 * 9125201 * 5738108801